Quality control: Syringes The quality control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of 8 syringes taken from the batch. Suppose the batch contains 1% defective syringes. a.) Make a histogram showing the probabilities of r=0, 1,2,3,4,
Problem 10) You roll two fair dice, one red and one green. a) What is the probability of getting a number less than 5 on both? b) What is the probability of getting a sum of 9 on the two dice? c) What is the probability of getting a 5 on both?
Describe a real-life situation where Pascal's Triangle can be used to calculate probability. Is this the best method for solving your calculation? If yes, why? If not, what other principle would you use?
4. Sociology: Ethics. The one-time fling! Have you ever purchased an article of clothing (dress, sports, jackets, etc.) worn the item once to a party, then returned the purchase? This is called the one time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it. (Source: "Are you Normal?" By B
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of
Suppose we randomly select 5 cards from an ordinary deck of playing cards. We might ask: What is the probability of selecting AT MOST 2 Aces? At least two Aces?
I need some guidance in how to calculate probabilities without knowing the std deviation. Population = 3005 calculate P(x-bar > 50.8) for sample size of n = 253 calculate P(x-bar > 50.6) for sample size of n = 134 calculate P(x-bar > 51) for sample size of n = 119 Then combine the two probabilities 51 a
I have 10 multiple choice questions. I have marked what I think are the answers. I would like to know how to get the answers (using what method/equation) etc and correct those that are wrong. If you would please present the "how" in an easy to understand, simple way. This is an introductory statistics course in a Masters pro
1. A financial analyst estimates that the probability that the economy will experience a recession in the next 12 months is 20%. She also believes that if the economy enters a recession, the probability that her mutual fund will increase in value is 20%. If there is no recession the probability that the mutual fund will increase
25) Money magazine reported that the average price of gallon of gasoline in the United States during the first quarter of 2001 was $ 1.46. Assume the price reported by Money is the population mean, and the population standard deviation is $ 0.15. a) What is the probability that the mean price for a sample of 30 gas sta
The personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. From the past records, they have found that the length of a first interview is normally distributed with mean = 35 minutes and standard deviation = 6 minutes. Nine first interviews are usually scheduled p
Consider babies born in the "normal" range of 37 - 43 weeks gestational age. Extensive data supports the assumption that for such babies born in the United States, birth weight is normally distributed with mean = 3432 grams and standard deviation = 482 grams. What is the probability that the birth weight of a randomly selecte
A radio station that plays classical music has a "By Request" program each Saturday night. The percentage of requests for composers on a particular night are listed below: Composers Percentage of Requests Bach 5 Beethoven 26 Brahms 9 Dvorak 2 Mendelssohn 3 Mozart
Let X be a normally distributed random variable with µ = 100 and σ = 10. The probability that X is between 70 and 110 is (to the nearest whole percent) a. 8 % b. 84 % c. 95% d. answer not listed
Acme Airlines flies airplanes that seat 12 passengers. From experience, they have learned that, on average, 80% of the passengers holding reservations for a particular flight actually show up for the flight. If they book 13 passengers for a flight, what is the probability that 12 or fewer passengers holding reservations will act
A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one? a. 5C3 x 7C1/12C4 b. 5P3 x 7P1/12P4 c. 5C2 x 7P2/12 d. Answer not listed
A delivery truck must make stops in eight different cities, designated by the first letter in the name of the city: A, B, C, D, E, F, G, and H. If the order in which the truck visits the eight locations is chosen randomly, what is the probability that it will visit them in alphabetical order? a. 8C1/8P1 b. 1/8P8
Please see the attached file for full description 1. There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Find the break-even point. 2. Administrators at a university are planning to offer a summer semin
In a survey on the quality of customer service at Car Toys, customers were asked to rate the service on a scale from 1 to 10, with 10 being that a customer was completely satisfied. Assume that the distribution of the responses can be approximated by a normal distribution with a mean of 7 and a std deviation of 1. a. What is
See attached. Review Questions (9, 10 and 15) #'s 9 & 10 refer to the following situation. Fifteen (15) companies all bid on oil leases. The following data is a small part of the records on past bids. All monetary amounts are in millions of dollars. Leases Signals Proven Value Company 1 Company 2 $105.5 $99.5 $107.4
Show the odds of any two individuals having the same birthday are slightly greater than 1:1 (1:.9732 actually). Assume there are 23 individuals in the room and 365 days in a year ignoring leap year.
From order statistics.
Please see attachment. 1. Roger's Regalia is a manufacturer of caps, gowns, and assorted party outfits, primarily for the commencement season. (80 percent of their yearly sales occur over a six-week period.) One of their popular products is a Parrot Head, sometimes worn by graduating college students as a sign of festive oc
Please see the attached file.
1) In a certain town, 60% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults)who have a college degree. Find the variance for the probability distribution. x P(x) 0 0.0256 1 0.1536 2 0.3456 3 0.3456 4 0.1296 2) A
A small bag of Skittles candies has the following assortment: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x. Total number of candies = 10 + 2 + 5 + 21 + 0 + 18 = 56 P(R) the probability of randomly choosing a red candy. P(B) the probability of rando
You are trying to set up a portfolio that consists of a corporate bond fund and a common stock fund. the following information about the annual return (per $1,000)of each of these investments under different economic condition is available, along with probability that each of these economic conditions will occur: probability
1. The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. What percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds? a) 84% b) 67% c) 29% d) 16% 2. The standard error of t
1. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean? a) 0.029 b) 0.050 c) 0.091 d) 0.120 2. The owner of a fish
Please see the attached file.